Examples of uniformly quasiregular mappings

Peltonen, Kirsi

doi:10.1090/S1088-4173-99-00053-3

Examples of uniformly quasiregular mappings
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Conform. Geom. Dyn. 3 (1999), 158-163 Request permission

Abstract:

In this paper we construct examples of uniformly quasiregular (uqr) mappings. These provide counterexamples for a rigidity conjecture in quasiregular dynamics. It states that a closed manifold of dimension at least three, which admits a branched uqr mapping, is quasiconformally equivalent to an ordinary sphere $S^n$.

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